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Finding the Third Proportional to 569,913 and 902,436.75

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Solution

The third proportional to 569,913 and 902,436.75 is: 1,428,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,913 : 902,436.75 = 902,436.75 : x
  2. Step 2: Convert to fraction form
    569,913/902,436.75 = 902,436.75/x
  3. Step 3: Cross multiply
    569,913x = 902,436.75 × 902,436.75
  4. Step 4: Simplify right side
    569,913x = 814,392,087,750.56
  5. Step 5: Solve for x
    x = 814,392,087,750.56/569,913
  6. Step 6: Final answer
    x = 1,428,976.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.